Abstract

We present a catalog of features of surfaces of minimum surface free energy. The types of surfaces considered are interfaces between two phases, at least one of which is solid; the surface free energy is a given anisotropic function. We list all possible local structures of the interfaces under certain quite general conditions. Included in the list are features which have not earlier been recognized as being minimizing. Various techniques of describing the local structure of minimizing surfaces and of proving minimality are also given, the most useful of which involve n-diagrams and barriers.

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